Applied Mathematics
Overview
The Applied Mathematics Area of Concentration (AOC) at New College provides students with a rigorous foundation in mathematical theory, analytical thinking, and computational methods. Designed for those interested in applying mathematics to practical and interdisciplinary problems, the program emphasizes both conceptual understanding and hands-on experience. Students gain proficiency in modeling complex systems, analyzing data, and developing quantitative solutions to real-world challenges. Once rooted primarily in the physical sciences, applied mathematics today plays a critical role across a broad range of disciplines including biology, medicine, economics, engineering, and technology. Through a curriculum that combines core mathematical principles with modern applications, students are prepared for careers in industry, research, government, or graduate study. The program offers flexibility for students to tailor their academic paths. Applied Mathematics may be pursued as a standalone major or paired with complementary fields such as Physics, Computer Science, Economics, or Biology to create a customized interdisciplinary experience.
(See also Mathematics)
Faculty in Applied Mathematics
Christopher Kottke, Associate Professor of Mathematics
Patrick McDonald, Professor of Mathematics
Eirini Poimenidou, Professor of Mathematics
Vlad Serban, Assistant Professor of Mathematics
Necmettin Yildirim, Professor of Mathematics/Soo Bong Chae Chair of Applied Mathematics
Requirements for the AOC in Applied Mathematics
A minimum of fourteen and one-half (14.5) academic units.
| Code | Title |
|---|---|
| Core Requirements 1 | |
| Calculus I | |
| Calculus II | |
| Calculus III | |
| Advanced Linear Algebra | |
| Ordinary Differential Equations | |
| Probability I | |
| Programming Course | |
| Select one from the following examples: | |
| Introduction to Programming in Python | |
| Object Oriented Programming | |
| Functional Programming in Hask | |
| Additional Requirements | |
| Dealing with Data I* | |
or STA 2024 | Dealing with Data II |
| Mathematical Modeling | |
| Introduction to Numerical Methods | |
| Mathematics Seminar | |
| Electives | |
| Select two from the following examples: | |
| Advanced Linear Algebra | |
MATH 4341 | |
| Complex Analysis | |
| Introduction to Number Theory | |
MATH 3220 | |
| Applied Linear Models | |
| Real Analysis 1 | |
| Real Analysis II | |
| Abstract Algebra I | |
| Abstract Algebra II | |
| Point-Set Topology | |
| Basic Set Theory* | |
| Advanced Topics: Applied Math | |
| Advanced Topics: Analysis | |
| Advanced Topics: Algebra | |
| Advanced Topics: Probability | |
| Advanced Topics: Geometry/Topology | |
| Additional Requirements | |
| One Independent Study Project (ISP) in Applied Mathematics | |
| Senior Thesis in Applied Mathematics and Baccalaureate Exam | |
- 1
Some requirements can be met with appropriate AP, IB, or transfer credit.
- 2
These are each one-mod courses; together they count as one academic unit.
- 3
To receive mod course credit (.5 unit) for the Mathematics Seminar, students must prepare and present a talk at one of the seminar sessions. One of the most important roles of the Mathematics Seminar, in addition to honing students' communication skills, has been to build a sense of community in the program.
Requirements for a Secondary Field in Applied Mathematics
A minimum of six and one-half (6.5) academic units.
| Code | Title |
|---|---|
| Core Requirements 1 | |
| Calculus I | |
| Calculus II | |
| Advanced Linear Algebra | |
| Ordinary Differential Equations | |
| Probability I | |
| Mathematical Modeling | |
or MAD 4400 | Introduction to Numerical Methods |
| Additional Applied Math Requirement | |
| Mathematics Seminar | |
| Optional | |
| A programming course is highly recommended. | |
- 1
Some requirements can be met with appropriate AP, IB, or transfer credit.
- 2
These are each one-mod courses; together they count as one academic unit.
- 3
To receive mod course credit (.5 unit) for the Mathematics Seminar, students must prepare and present a talk at one of the seminar sessions. One of the most important roles of the Mathematics Seminar, in addition to honing students' communication skills, has been to build a sense of community in the program.
Representative Senior Theses in Applied Mathematics
- Chaotic Dynamics in Double Pendulum
- Delay Differential Equation Model for G-Protein Pathway Dynamics
- Dynamics of Protein Synthesis with Autoregulation: Computational Biology Approach
- Mathematical Modeling of MAPK Dynamics and Signal Adaptation
- A Systems Biology Approach to Study Differential Regulation of MAPK Dynamics
- Mathematical Modeling and Optimal Experimental Design in Systems Biology
- Mathematical Modeling of Pacific Pink Salmon (Oncorhynchus Gorbuscha) Dynamics
- Fluctuations of Beta Rhythm: Mathematical Modeling and Periodic Forcing of a Cortical Microcircuit
- Mathematical Model Relating Soil Organic Matter Decomposition to Microbial Community Dynamics